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Prats High-Conductivity Fracture Effective Wellbore Radius Formula

rwe=Xf2r_{we}=\frac{X_f}{2}

Prats High-Conductivity Fracture Effective Wellbore Radius calculates effective wellbore radius for well performance workflows in reservoir engineering.

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How engineers use this formula

Use this formula when the listed inputs (X_f, r_w) are known and the assumptions behind the cited well performance relationship match the engineering case being checked.

Assumptions

  • Input values are representative for the well, reservoir, fluid, or equipment case being evaluated.
  • The declared units match the field-unit constants used in the formula.
  • The cited formula applies to the selected petroleum engineering workflow.

Limitations

  • The calculation does not replace a full engineering model or operating procedure.
  • Accuracy depends on the source correlation, assumptions, input quality, and unit consistency.

Common mistakes

  • Mixing unit systems without converting the inputs.
  • Using default example values as field recommendations.
  • Applying the formula outside the source assumptions.

Default example

Using the default inputs, r_we equals 150 ft.

X_fft

300

r_wft

0.328

Inputs

X_f

ft

Fracture Half Length

r_w

ft

Physical Wellbore Radius

Outputs

r_we

ft

Effective Wellbore Radius

S_f

dimensionless

Equivalent Fracture Skin Factor

X_f

ft

Fracture Half Length

r_w

ft

Physical Wellbore Radius

Source and review

reviewed

Prats, M., Hazebroek, P., and Strickler, W.R. 1962; Pengtools Prats effective well radius summary.

Source

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